242/46 as a Decimal and Mixed Number

242/46 as a decimal and mixed number expansion provides the detailed information about what is 242/46 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

242/46 as a Decimal
242/46 = 5.2609
Hence,
242/46 as a decimal equals to 5.2609
where,
242/46 is a given fraction,
The decimal expansion of 242/46 is 5.2609

242/46 as a Mixed Number
242/46 = (230 + 12)/46
= 230/46 + 12/46
= 5 + 12/46
= 5 12/46
242/46 = 5 12/46

Hence,
242/46 as a mixed number is 5 ¹²/₄₆
where,
242/46 is a given fraction,
5 ¹²/₄₆ is the mixed number representation of 242/46.

The below work with steps provide the detailed information about how to convert fraction 242/46 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 242/46

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 242/46.

step 2 The numerator is greater than the denominator of the fraction 242/46, so write the given fraction in the expression form in terms of denominator as like the below:
= 242/46
= 230 + 12/46
= (5 x 46) + 12/46

step 3 Make the above expression as individual fractions:
= (5 x 46)/46 + 12/46

step 4 Simplify the above expression:
= 5 x 46/46 + 12/46
= 5 + 12/46
= 5 + 6 x 2/23 x 2
= 5 + 6/23
5 + 6/23 can be written as a mixed number 5 ⁶/₂₃.


step 5 Find the decimal equivalent for the fractional part 6/23 in the above expression:
= 5 + 0.2609
= 5.2609
242/46 = 5.2609

Hence,
242/46 as a decimal is 5.2609
242/46 as a mixed number is 5 ⁶/₂₃